Project detail

Mathematical modelling of some nonlinear problems in continuum mechanics

Duration: 01.01.1997 — 31.12.1999

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder

On the project

Description in English
The main aim of the first and third themes is development of methods of solving convection - diffusion problems. The first case concerns problems of Stefan tape with convective term and nonlinear and degenerate diffusion ( a motive : continuous casting of steel ). The convective term considerably prevails the diffusion term near the interface, separating the liquid and solid phases, and thus difficultes of solving increase significantly. The third theme concernsnumerical solving Navier-Stokes and Eulerequations. A special attention will be devoted to constructing a robus scheme for Euler equations. In both themes a convenient implementationof the method of characteristics will be used. The second theme is mathematical modelling of hysteresis material swith perodic coefficients and hysteresis operator. The aim is a homogenization of these equations and development of corresponding numerical methods.

Mark

GA201/97/0153

Default language

Czech

People responsible

Ženíšek Alexander, prof. RNDr., DrSc. - principal person responsible

Units

Faculty of Mechanical Engineering
- beneficiary (1997-01-01 - 1999-12-31)

Results

LUKÁČOVÁ, M.; WARNECKE, G.; MORTON, K. Evolution Galerkin Methods for Multidimensional Hyperbolic Systems. In Proceedings of 2nd European Conference on Numerical methods and Advanced Applications. Singapore: World Scientific Publishing Company, 1999. p. 289 ( p.)ISBN: 981-02-3546-1.
Detail

LUKÁČOVÁ, M., MORTON, K., WARNECKE, G. Finite Volume Evolution Galerkin Methods for Multidimensional Hyperbolic Systems. In Finite Volumes for Complex Applications II. Paris: Hermes, 1999. p. 445 ( p.)ISBN: 2-7462-0057-0.
Detail

FRANCŮ, J.; KREJČÍ, P. Homogenization of scalar wave equations with hysteresis. Continuum Mech Therm, 1999, vol. 11, no. 6, p. 371-390. ISSN: 0935-1175.
Detail

FRANCŮ, J. Modelling of the Czochralski flow. Abstract and Applied Analysis, 1998, vol. 3, no. 1-2, p. 1-40. ISSN: 1085-3375.
Detail

ŽENÍŠEK, A. Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications (Appl. Math. 44, No. 3). 1. 1. Praha: Mathematical Institute, Academy of Sciences of the, 1999. 73 p. ISBN: 0862-7940.
Detail

ŽENÍŠEK, A., HODEROVÁ, J. Semiregular Hermite tetrahedral finite elements. Application of Mathematics, 2001, vol. 2001, no. 40, p. 295-315. ISSN: 0373-6725.
Detail

ZLÁMALOVÁ, J. Semiregular finite elements in solving some nonlinear problem. APPLICATIONS OF MATHEMATICS, 2001, vol. 46, no. 1, p. 53-77. ISSN: 0862-7940.
Detail

FRANCŮ, J. On modelling of Czochralski flow, the case of non plane free surface. In Applied nonlinear analysis. Nonlinear Analysis. New York: Kluwer Academic, 1999. p. 133 ( p.)ISBN: 0-306-46303-2.
Detail

LUKÁČOVÁ, M. Bipolar Isothermal Non-Newtonian Compressible Fluids. Journal of Mathematical Analysis and Application, 1998, no. 225, p. 168 ( p.)ISSN: 0022-247X.
Detail

Responsibility: Ženíšek Alexander, prof. RNDr., DrSc.